Math 212, Section 3

Rice University, Spring 2006

Most of the important information can be found on the first day handout. I will make important announcements on this page, and I will post homework assignments here.

Announcements


Approximate Syllabus

I hope you can see the parallels to the plan of a course in calculus in one variable. This might help give perspective.

Homework Assignments

I advise you to do a lot more problems than this. This can take a lot of practice.

Date SectionsTopics
Jan 12 1.1,1.2Vectors, inner product, distance
Jan 17 1.3matrices, determinants, cross product
Jan 19 1.4,1.5n-space, cylindrical and spherical coordinates
Jan 24 2.1,2.2"graphing", level surfaces, limits
Jan 26 2.3,2.5differentiation, definition and basic properties
Jan 31 2.4paths and curves
Feb 2 2.6gradients, directional derivatives
Feb 3-8 First Examination PeriodChapters 1 and 2
Feb 7 3.1,3.2higher derivatives, Taylor's theorem
Feb 9 3.3Optimization of scalar functions, Hessian, second derivative test
Feb 14 3.4Optimization with constraint, Lagrange multipliers
Feb 16 5.1,5.2Integration over rectangles, Fubini-Tonelli
Feb 21 5.3general double integral
Feb 23 5.4,5.5changing order of integration, triple integrals
Feb 28 6.1,6.2maps from the plane to itself, changing variables
Mar 2 6.2,6.3more change of variables, applications
Mar 3-8 Second Examination Period
Mar 7 4.1,4.2some "physics", arc length
Mar 9 4.3vector fields
Mar 14,16  Spring BreakNo Class
Mar 21 4.4Divergence and Laplacian
Mar 23 4.4Curl, vector identities
Mar 28 7.1,7.2Path and line integrals
Mar 30 7.3parameterized surfaces
Apr 4 7.4surface area
Apr 6 Spring RecessNo Class
Apr 11 7.5scalar Surface integrals
Apr 13 7.6vector surface integrals
Apr 14-19 Third Examination Period
Apr 18 8.1Green's theorem
Apr 20 8.2Stoke's theorem
Apr 25 8.3Conservative vector fields
Apr 27 8.4Gauss' theorem
Section Problems due date
1.1 4,5,6,9,18,19,20,22,31 Jan 20
1.2 6,13,14,16,17,19,27 Jan 20
1.3 2,3,5,10,15,16,25,28 Jan 20
1.4 1-4,8,9,12,13,15 Jan 27
2.1 1,2,6,10,12,17 Jan 27
2.2 5,6,8,17 Jan 27
2.3 1,2,5,6bc,9,13,18 Feb 3
2.4 1,6,8,12,16,20 Feb 3
2.5 4,5,8,13 Feb 3
2.6 2,5,7,14,16,24,25 Feb 3
3.1 3,5,6,12,19,20abc,24 Feb 10
3.2 1,2,3,6 Feb 10
3.3 1,3,5,8,10,22,25 Feb 17
3.4 2,3,5,10,13 Feb 17
5.1 1ab,2ab,5,7 Feb 24
5.2 2,3,6,7 Feb 24
5.3 2,7,8,13,14,16 Feb 24
5.4 2,3,6,8,11 Feb 24
5.5 2,4,7,8,10,12,14,16 Mar 3
6.1 1,2,4,7,8,9 Mar 3
6.2 1,2,11,13,14,19,21,23 Mar 3
6.3 2,4,8 Mar 10
4.1 3,6,7,14,15 Mar 10
4.2 2,4,6,8,12 Mar 10
4.3 1-15 odd Mar 10
4.4 1-26 even, 5 Mar 24
7.1 3,4,6,11,13 Mar 31
7.2 2,3,4,10,12,15,16 Mar 31
7.3 1,2,4,5,6,11,14  Apr 10
7.4 1,2,3,6,7,13,20  Apr 10
7.5 2,3,4,8,11, 10 (That's right, do 11 and then 10.) Apr 14
7.6 1,3,4,6,7,9,18  Apr 14
8.1 1,2,3,5,7,9,12  Apr 24
8.2 2,5,7,9-12 Apr 24
8.3 1,3,4,7,9,12,13,18 never
8.4 1,2,5,7,8,10,18 never